8123416900 has 27 divisors (see below), whose sum is σ = 17629770711. Its totient is φ = 3249006240.

The previous prime is 8123416849. The next prime is 8123416937. The reversal of 8123416900 is 96143218.

The square root of 8123416900 is 90130.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 260693316 + 7862723584 = 16146^2 + 88672^2 .

It is a super-2 number, since 2×8123416900² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 896794 + ... + 905806.

Almost surely, 2^8123416900 is an apocalyptic number.

8123416900 is the 90130-th square number.

It is an amenable number.

8123416900 is an abundant number, since it is smaller than the sum of its proper divisors (9506353811).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8123416900 is an frugal number, since it uses more digits than its factorization.

8123416900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18040 (or 9020 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The cubic root of 8123416900 is about 2010.2323023838.

The spelling of 8123416900 in words is "eight billion, one hundred twenty-three million, four hundred sixteen thousand, nine hundred".